Application of Matrices in Real Life

Matrices are nothing but the rectangular arrangement of numbers, expressions, symbols which are arranged in columns and rows.

The numbers present in the matrix are called as entities or entries.

A matrix is said to be having ‘m’ number of rows and ‘n’ number of columns.

Matrices find many applications in scientific fields and apply to practical real life problems as well, thus making an indispensable concept for solving many practical problems.

Some of the main applications of matrices are briefed below:

• In physics related applications, matrices are applied in the study of electrical circuits, quantum mechanics and optics.

In the calculation of battery power outputs, resistor conversion of electrical energy into another useful energy, these matrices play a major role in calculations.

Especially in solving the problems using Kirchoff’s laws of voltage and current, the matrices are essential.

• In computer based applications, matrices play a vital role in the projection of three dimensional image into a two dimensional screen, creating the realistic seeming motions.

Stochastic matrices and Eigen vector solvers are used in the page rank algorithms which are used in the ranking of web pages in Google search.

The matrix calculus is used in the generalization of analytical notions like exponentials and derivatives to their higher dimensions.

One of the most important usages of matrices in computer side applications are encryption of message codes.

Matrices and their inverse matrices are used for a programmer for coding or encrypting a message.

A message is made as a sequence of numbers in a binary format for communication and it follows code theory for solving.

Hence with the help of matrices, those equations are solved.

With these encryptions only, internet functions are working and even banks could work with transmission of sensitive and private data’s.

• In geology, matrices are used for taking seismic surveys.

They are used for plotting graphs, statistics and also to do scientific studies in almost different fields.

• Matrices are used in representing the real world data’s like the traits of people’s population, habits, etc.

They are best representation methods for plotting the common survey things.

• Matrices are used in calculating the gross domestic products in economics which eventually helps in calculating the goods production efficiently.

• Matrices are used in many organizations such as for scientists for recording the data for their experiments.

• In robotics and automation, matrices are the base elements for the robot movements.

The movements of the robots are programmed with the calculation of matrices’ rows and columns.

The inputs for controlling robots are given based on the calculations from matrices.

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Question:

Answers:You can have application for matrices of any dimension in real-life.
Most things when changed have an impact on others, or change as a result of many factors.
Take something simple - price of bread.
Price can be determined by supply against demand - however can also be made very complicated.
Price will be affected by price of grain, economic conditions, location.
This can then be taken further - price of grain is affected by weather, demand for other products, and even price of oil to fill the tractor on the farm.
If you want to see how something changes in a what-if situation then you need a dimension for each factor.

Question:Good day! I get 5 points extra credit for up to 4 real life college algebra application papers I write. As an older student (35), I'm fully aware that I won't use most algebra in real life. Thus, I'm stumped. I already have a financial application example and we can only use one of those. I'm looking for exponential growth problems, matrices I might actually use, etc. Simple geometry problems like gallons of paint, volume of my pool, and stuff like that will not be accepted.
Thanks for any suggestions!
Thanks for your help!

Answers:Algebra is a stepping stone for much more complicated applications. You can't learn to run unless you learn to walk.
A great example would be how to maximize the area of an animal pen given an limited amount of fencing.
If you have 300 feet of fencing, what is the biggest area you can make? How does the area change if you make the pen 3 sides (build it against a barn or stream) versus four sides.
This problem involves calculus, but if one doesn't have the algebra to get to the calculus, this problem would be really hard!

Question:This is gonna be an application question on my test. What are some real life applications of the oxidation of alcohols?
Alcohols + {O} = (Aldehyde, Ketone, or Carboxylic acid)

Answers:One of the major processes for making formaldehyde commercially is the oxidation of methanol. Formaldehyde is an important industrial chemical used in things like plastics and insulation.

Question:im doing a project on math and i want a subject that will be really interesting. the math needs to be around algebra 2 level, but im having trouble deciding what to do because i have to show the math and how it is used. any help would be appreciated

Answers:Hi,
Try conic sections. A parabola is the basis for the satellite dishes that pull in TV signals. They are also the shape of the back of a headlight that focuses the light from the car down the road. An ellipse is a shape they use to build a lithotripter, which is a machine they can use to break up kidney stones for people. A hyperbola relates to hoe air traffic control figures out the locations of airplanes while they're in flight.
A circle puts every point on its edge equidistant from the center, something they use in stages built in the round.
That's just quickly done off of the top of my head.
I also added a website that may be helpful to you!!
I hope that helps you!! Good luck!! :-)